1 - Remove any locks on the domain
2 - Make sure the admin and registrant email contacts show an email address you have access to
3 - if they are an EPP based name(e.g. .us, .info..biz) make sure you get the AUTH codes from godaddy BEFORE you transfer the name
I recently transfered 3 domains from godaddy to enom without any problems. Both enom and godaddy sent emails requesting approval for the transfer. After logging in to the godaddy control panel and approving the transfer the domain was in my enom account the next day!